Discussion (9) ¬

Now I’m trying to wrap my brain around Non-Euclidean geometry! Oh my ears and whiskers it’s like reading a foreign language. I get the sense from this that Non-Euclidean geometry could be performed in any base. http://en.wikipedia.org/wiki/Non-Euclidean_geometry

Well, we use a digital number system. It’s possible that a non-human would use an analog system, for example, a squiggly line one unit long for one, two units long for two, twenty units long for twenty, one and a quarter units long for one and a quarter, etc.
This does make it hard to write very large numbers, but they could have the equivalent of a decimal place or an exponent.
If you’re sticking with digital representations, I like balanced ternary, which is a system that is logical, but humans just don’t use. Balanced ternary uses just three digits, zero, one, and negative one.